Principal bundles with parabolic structure.
Problème de Levi et morphisme localement de Stein.
Projective bundles on a complex torus.
Proper holomorphic mappings between bounded complete Reinhardt domains in C2.
Prym-Tjurin varieties and the Hitchin map.
Pseudoconvex Domains: Bounded Strictly Plurisubharmonic Exhaustion Functions
Pullbacks of the Horrocks-Mumford bundle.
Quasi-isometric vector bundles and bounded factorization of holomorphic matrices
We give a sufficient condition for a hermitian holomorphic vector bundle over the disk to be quasi-isometric to the trivial bundle. One consequence is a version of Cartan's lemma on the factorization of matrices with uniform bounds.
Quaternionic analysis on Riemann surfaces and differential geometry.
Rank-2 Vector Bundles on a Ruled Surface. I.
Secondary characteristic classes and intermediate Jacobians.
Semistable quotients
Some Properties of Stahle Rank-2 Vector Bundles on Pn.
Stable bundles on hypercomplex surfaces
A hypercomplex manifold is a manifold equipped with three complex structures I, J, K satisfying the quaternionic relations. Let M be a 4-dimensional compact smooth manifold equipped with a hypercomplex structure, and E be a vector bundle on M. We show that the moduli space of anti-self-dual connections on E is also hypercomplex, and admits a strong HKT metric. We also study manifolds with (4,4)-supersymmetry, that is, Riemannian manifolds equipped with a pair of strong HKT-structures that have opposite...
Steinness of bundles with fiber a Reinhardt bounded domain
Let denote a holomorphic bundle with fiber and with basis . Both and are assumed to be Stein. For a Reinhardt bounded domain of dimension or , we give a necessary and sufficient condition on for the existence of a non-Stein such (Theorem ); for , we give necessary and sufficient criteria for to be Stein (Theorem ). For a Reinhardt bounded domain of any dimension not intersecting any coordinate hyperplane, we give a sufficient criterion for to be Stein (Theorem ).
Submersions and equivariant Quillen metrics
In this paper, we calculate the behaviour of the equivariant Quillen metric by submersions. We thus extend a formula of Berthomieu-Bismut to the equivariant case.
Subvarieties of parallelizable manifolds.
Sur la restriction des faisceaux semi-stables
Sur la simplification dans les isomorphismes analytiques
Sur le noyau de la chaleur associé aux puissances tensorielles d'un fibré en droites complexes. Estimations asymptotiques et théorèmes d'annulation